6i(4-6i)=

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Solution for 6i(4-6i)= equation: 


Simplifying
6i(4 + -6i) = 0
(4 * 6i + -6i * 6i) = 0
(24i + -36i2) = 0

Solving
24i + -36i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '12i'.
12i(2 + -3i) = 0

Ignore the factor 12.

Subproblem 1
Set the factor 'i' equal to zero and attempt to solve:

Simplifying
i = 0

Solving
i = 0

Move all terms containing i to the left, all other terms to the right.

Simplifying
i = 0

Subproblem 2
Set the factor '(2 + -3i)' equal to zero and attempt to solve:

Simplifying
2 + -3i = 0

Solving
2 + -3i = 0

Move all terms containing i to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + -3i = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3i = 0 + -2
-3i = 0 + -2

Combine like terms: 0 + -2 = -2
-3i = -2

Divide each side by '-3'.
i = 0.6666666667

Simplifying
i = 0.6666666667
Solution
i = {0, 0.6666666667}

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